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kkurt [141]
3 years ago
10

1. Find a 10 in the sequence given by an = -5 + 9(n − 1). 010 =

Mathematics
1 answer:
hjlf3 years ago
7 0

Answer:

76

Step-by-step explanation:

a10=-5+9(10-1)=-5+9×9=-5+81=76

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16: Find the coordinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the Hyperbola y^2-16x
Morgarella [4.7K]

Answer:

Foci (0,\pm\frac{\sqrt{17}}{4})

Vertices:(0,\pm 1)

Eccentricity, e=\frac{\sqrt{17}}{4}

Length of latus rectum=\frac{1}{8}

Step-by-step explanation:

We are given that

y^2-16x^2=1

y^2-\frac{x^2}{(\frac{1}{4})^2}=1

The equation of hyperbola is along y-axis because y is positive

Compare the equation with

y^2/a^2-x^2/b^2=1 (Along y-axis)

We get

a=1, b=1/4

a^2+b^2=c^2

1+\frac{1}{16}=c^2

\frac{16+1}{16}=c^2

c^2=\frac{17}{16}

c=\pm \frac{\sqrt{17}}{4}

Therefore,

The coordinates of foci=(0,\pm c)=(0,\pm\frac{\sqrt{17}}{4})

The coordinated of vertices=(0,\pm a)=(0,\pm 1)

Eccentricity, e=c/a

e=\frac{\frac{\sqrt{17}}{4}}{1}=\frac{\sqrt{17}}{4}

Length of latus rectum=\frac{2b^2}{a}

Length of latus rectum=2\times \frac{1}{16}=\frac{1}{8}

3 0
3 years ago
PLEASE HELP IOLL GIV EBRAINLIEST ANSWER!!
maks197457 [2]

Answer:

8 1/3 meters

Step-by-step explanation:

set up a proportion of corresponding sides:

TE/AY = JT/DY

25/AY = 18/6

cross-multiply:

18AY = 150

AY = 150/18 which is 8 1/3

4 0
3 years ago
K= 2m-x/ x solve for x
Yakvenalex [24]

the answer is x = 2m/1+k

4 0
4 years ago
Add
Alona [7]
The correct answer is A
7 0
3 years ago
Can someone help me please (brainiest and 50 points)
goblinko [34]

Answer:1. 12 ft sq.

2. 4 ft

3. 12 - 4(doors) = 8

6 0
3 years ago
Read 2 more answers
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